7. Hot dogs come in packages of 24. Hot dog buns come in packages of 18 How many packages of each must be purchased so that there is one hot
dog for each bun?

Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?

Gabrielle's age is two times mikhail's age. the sum of their ages is 84. what is mikhail's age?

The length of a rectangle plus its width is 24 cm. the area is 143 square cm. what are the length and width of the rectangle?